2604733560 has 384 divisors, whose sum is σ = 10472716800. Its totient is φ = 551992320.

The previous prime is 2604733529. The next prime is 2604733577. The reversal of 2604733560 is 653374062.

2604733560 is a `hidden beast` number, since 2 + 60 + 4 + 7 + 33 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 976789 + ... + 979451.

It is an arithmetic number, because the mean of its divisors is an integer number (27272700).

Almost surely, 2^2604733560 is an apocalyptic number.

2604733560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604733560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236358400).

2604733560 is an abundant number, since it is smaller than the sum of its proper divisors (7867983240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2604733560 is a wasteful number, since it uses less digits than its factorization.

2604733560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2604733560 is about 51036.5904033567. The cubic root of 2604733560 is about 1375.9028446253.

It can be divided in two parts, 2604 and 733560, that added together give a square (736164 = 858²).

The spelling of 2604733560 in words is "two billion, six hundred four million, seven hundred thirty-three thousand, five hundred sixty".